1004505641200 has 60 divisors (see below), whose sum is σ = 2423338831408. Its totient is φ = 400134988800.

The previous prime is 1004505641137. The next prime is 1004505641203. The reversal of 1004505641200 is 21465054001.

1004505641200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004505641203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5113692 + ... + 5306491.

Almost surely, 2^{1004505641200} is an apocalyptic number.

1004505641200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004505641200 is an abundant number, since it is smaller than the sum of its proper divisors (1418833190208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1004505641200 is a wasteful number, since it uses less digits than its factorization.

1004505641200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10420442 (or 10420431 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The spelling of 1004505641200 in words is "one trillion, four billion, five hundred five million, six hundred forty-one thousand, two hundred".